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Finding the Third Proportional to 256,223 and 374,458

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Solution

The third proportional to 256,223 and 374,458 is: 547,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,223 : 374,458 = 374,458 : x
  2. Step 2: Convert to fraction form
    256,223/374,458 = 374,458/x
  3. Step 3: Cross multiply
    256,223x = 374,458 × 374,458
  4. Step 4: Simplify right side
    256,223x = 140,218,793,764
  5. Step 5: Solve for x
    x = 140,218,793,764/256,223
  6. Step 6: Final answer
    x = 547,252.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.